Mathematical Reasoning and Number Facility Flashcards

A city department has a budget of $4,800 for office supplies. Supplies cost $37.50 per employee and there are 112 employees. How much budget remains after purchasing supplies?

Answer: $600

112 × $37.50 = $4,200; $4,800 − $4,200 = $600 remaining.

A civil service exam awards 2 points for each correct answer and deducts 0.5 points for each incorrect answer. An applicant answers 38 correctly and 12 incorrectly. What is the final score?

Answer: 70

(38 × 2) − (12 × 0.5) = 76 − 6 = 70.

A water meter reads 58,342 gallons at the start of the month and 61,907 gallons at the end. The rate is $0.008 per gallon. What is the monthly water bill?

Answer: $28.52

Usage = 61,907 − 58,342 = 3,565 gallons; 3,565 × $0.008 = $28.52.

Three city clerks process permit applications at 15, 18, and 12 permits per hour. Working together for 6 hours, how many permits do they process in total?

Answer: 270

Combined rate = 15 + 18 + 12 = 45/hr; 45 × 6 = 270 permits.

A sanitation truck covers 28.6 miles in the morning and 31.4 miles in the afternoon, 5 days a week. How many total miles does it travel over a 4-week period?

Answer: 1,200 miles

Daily total = 28.6 + 31.4 = 60 miles; 60 × 5 × 4 = 1,200 miles.

A city park covers 4,960 square feet, and 5/8 of it is designated for recreation. How many square feet are NOT designated for recreation?

Answer: 1,860 sq ft

Recreation area = (5/8) × 4,960 = 3,100 sq ft; non-recreation = 4,960 − 3,100 = 1,860 sq ft.

A city worker earns $18.00/hr for regular hours (up to 40 hrs/week) and $27.00/hr for overtime. If the worker puts in 48 hours one week, what is the gross pay?

Answer: $936

Regular = 40 × $18 = $720; overtime = 8 × $27 = $216; total = $720 + $216 = $936.